[Question] How to maintain same bottom sheet state between multiple scaffolds?

main.dart

import 'package:flutter/material.dart';

void main() => runApp(NestedBottomSheetApp());

class NestedBottomSheetApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      home: Scaffold(
        appBar: AppBar(
          title: Text('Home'),
        ),
        body: Builder(
          builder: (context) => ElevatedButton(
            child: Text('Go To Details'),
            onPressed: () {
              Navigator.of(context).push<dynamic>(
                MaterialPageRoute<dynamic>(
                  builder: (context) => NestedPage(),
                ),
              );
            },
          ),
        ),
        bottomSheet: MyDraggableSheet(),
      ),
    );
  }
}

class MyDraggableSheet extends StatefulWidget {
  @override
  _MyDraggableSheetState createState() => _MyDraggableSheetState();
}

class _MyDraggableSheetState extends State<MyDraggableSheet> {
  int _totalPressed = 0;

  @override
  Widget build(BuildContext context) {
    return DraggableScrollableSheet(
      minChildSize: 0.2,
      initialChildSize: 0.2,
      expand: false,
      builder: (context, scrollController) {
        return Container(
          width: double.infinity,
          color: Colors.blue.shade100,
          child: ListView.builder(
            controller: scrollController,
            itemCount: 50,
            itemBuilder: (context, index) => TextButton(
              onPressed: () => setState(() => _totalPressed++),
              child: Text('Button $index | all pressed: $_totalPressed'),
            ),
          ),
        );
      },
    );
  }
}

class NestedPage extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: Text('Details'),
      ),
      body: Center(
        child: ElevatedButton(
          child: Text('Go Back'),
          onPressed: Navigator.of(context).pop,
        ),
      ),
      bottomSheet: MyDraggableSheet(),
    );
  }
}